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Finding the Fourth Proportional to 943.86, 1,416.15 and 430.50

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Solution

The fourth proportional to 943.86, 1,416.15 and 430.50 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.86 : 1,416.15 = 430.50 : x
  2. Step 2: Convert to fraction form
    943.86/1,416.15 = 430.50/x
  3. Step 3: Cross multiply
    943.86x = 1,416.15 × 430.50
  4. Step 4: Simplify right side
    943.86x = 609,652.58
  5. Step 5: Solve for x
    x = 609,652.58/943.86
  6. Step 6: Final answer
    x = 645.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.